ON THE SOBOLEV DOLBEAULT COHOMOLOGY OF A DOMAIN WITH PSEUDOCONCAVE BOUNDARIES  

作　　者：陈健 Jian CHEN(School of Mathematics and Statistics,Wuhan University,Wuhan,430072,China)

机构地区：[1]School of Mathematics and Statistics,Wuhan University,Wuhan,430072,China

出　　处：《Acta Mathematica Scientia》2024年第2期431-444,共14页数学物理学报（B辑英文版）

摘　　要：In this note,we mainly make use of a method devised by Shaw[15]for studying Sobolev Dolbeault cohomologies of a pseudoconcave domain of the type Ω=Ω\∪_(j=1^(m))Ω_(j),where Ω and {Ω_(j)}_(j=1^(m)■Ω are bounded pseudoconvex domains in ℂ^(n) with smooth boundaries,and Ω_(1),…,Ω_(m) are mutually disjoint.The main results can also be quickly obtained by virtue of[5].

关 键 词：Cauchy-Riemann equations pseudoconcave domains δ-Neumann operator Bergman spaces 

分 类 号：O154.2[理学—数学]